26226270720 has 1120 divisors, whose sum is σ = 108200074752. Its totient is φ = 6043631616.

The previous prime is 26226270713. The next prime is 26226270799. The reversal of 26226270720 is 2707262262.

It is a happy number.

26226270720 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 627 + 0 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 558005737 + ... + 558005783.

Almost surely, 2^26226270720 is an apocalyptic number.

26226270720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26226270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54100037376).

26226270720 is an abundant number, since it is smaller than the sum of its proper divisors (81973804032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26226270720 is an equidigital number, since it uses as much as digits as its factorization.

26226270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 26226270720 in words is "twenty-six billion, two hundred twenty-six million, two hundred seventy thousand, seven hundred twenty".